Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question a triangle has side lengths of $(4f + 2)$ centimeters, $(7f + …
\(g + 11f+11\)
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question the width of a rectangle measures $(8u - 2v)$ centimeters, and…
\(26u + 14v\)
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the radius of a circle is 1. what is the length of an arc that subtends…
\(\frac{35\pi}{18}\)
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read the sentences below. click or tap the underlined phrase that best …
the upper left to the lower right corner
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graph. x > -50 to draw a ray, plot an endpoint and select an arrow. sel…
Plot an open - circle at \(x = - 50\) and draw a ray extending to the right from that open - circle.
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the radius of a circle is 1. what is the measure, in radians, of the an…
\(\pi\)
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the radius of a circle is 1. what is the length of an arc that subtends…
\(\frac{\pi}{4}\)
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solve the following inequality and graph the solution: $(x + 5)(x + 10)…
The compound inequality is \(-10<x<-5\). On the number - line, we draw an open circle at \(x = - 10\) and \(x=-5\) and shade the region between them.
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what is the value of x? (4x)° (3x + 25)° (3x + 85)°
\(x = 25\)
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graph. x < 200 to draw a ray, plot an endpoint and select an arrow. sel…
On the number line, there is an open circle at 200 and a ray extending to the left from that open circle.
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kylie leans a 30 - foot ladder against a wall so that it forms an angle…
$8.27$ feet
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graph. x < 90 to draw a ray, plot an endpoint and select an arrow. sele…
Plot an open - circle at \(90\) on the number line and draw a ray extending to the left from that open - circle.
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the angle of elevation to a nearby tree from a point on the ground is m…
\(44.4\) feet
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x √7 w √17 3 v
\(2\sqrt{2}\)
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solve for r and graph the solution. 2r + 1 < 5 or 5r - 12 ≥ 3 plot the …
The solution of the compound inequality \(2r + 1<5\) or \(5r - 12\geq3\) is \(r < 2\) or \(r\geq3\). On the number - line, for \(r < 2\), we have an open circle at \(r = 2\) and a…
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find the cosine of \\( \\angle t \\). simplify your answer and write it…
\(\frac{36}{85}\)
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graph. $x < 2$ to draw a ray, plot an endpoint and select an arrow. sel…
Plot an open circle at \(x = 2\) and draw a ray pointing to the left.
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solve for $x$. round to the nearest tenth, if necessary. answer $x=$
\(30.5\)
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solve for $x$. round to the nearest tenth of a degree, if necessary. an…
\(28.6\)
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solve for c and graph the solution, -9 ≥ 2c - 17 > -13 plot the endpoin…
The solution is \(2 < c\leq4\). On the number - line, we have an open circle at \(c = 2\) (because \(c>2\)) and a closed circle at \(c = 4\) (because \(c\leq4\)), and we shade the…
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19. a figure on a coordinate plane was transformed using the rule $(x,y…
D. A reflection over the \(y\)-axis ### Question 20
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what is the circumference of a circle with a diameter of 3.75 kilometer…
11.78 kilometers
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17. find the scale factor that was used in the dilation shown. 18. if a…
\(2\) ### Question 18 Assume \(B\) has coordinates \((- 3,1)\) (from the coordinate system in the problem).
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solve for m and graph the solution. -12 ≤ m + 4 ≤ -11 plot the endpoint…
The solution for \(m\) is \(-16\leq m\leq -15\). On the number - line, there is a closed circle at \(-16\) and a closed circle at \(-15\) with a line segment between them.
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solve the problems below. be sure to show your thinking. 13. which of t…
D. \((\frac{5}{2}x,\frac{5}{2}y)\) ### Question 14
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12. which is a true statement about the transformation shown? a. the gr…
A. The graph shows a translation, and the figures are congruent.
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10. which of the following is the correct algebraic representation for …
A. \((x + 8,y-4)\) ### Question 11
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6. the table below shows the coordinates of a figure that was transform…
D. Translation 10 units left and 4 units down
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the diameter, d, of a sphere is 18.4 mm. calculate the spheres volume, …
\(3260.4\)
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a reflection over the y - axis 8. the table below shows the coordinates…
D
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the diameter, d, of a sphere is 18.4 mm. calculate the spheres volume, …
\(3260.6\)
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solve the problems below. be sure to show your thinking. 6. ben transfo…
6. D. A reflection over the y - axis 7. \((-6,10)\)
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4. which is the correct algebraic representation of the transformation …
C ### Question 5
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graph the image of the figure using the trans 7) reflection across $y =…
The image of the triangle \(JKL\) after reflection across \(y = x\) has vertices \(J'(0,0)\), \(K'(4,1)\), \(L'(0,5)\) which can be graphed on the coordinate plane.
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try again your answer is incorrect. the radius, r, of a sphere is 5 m. …
\(523.3\) \(m^{3}\)
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3. tyrell transformed a figure contained in quadrant iv by reflecting i…
A. The image is congruent to the pre - image.
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use the transformation shown below to answer 1 - 2. 1. which is a true …
B # 2.
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find the cosine of \\( \\angle c \\). simplify your answer and write it…
\(\frac{12}{37}\)
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consider the diagram. which line segment has the same measure as \\( \\…
\(\overline{TR}\)
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find the sine of \\( \\angle f \\). simplify your answer and write it a…
\(\frac{12}{13}\)
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find the tangent of \\( \\angle d \\). simplify your answer and write i…
\(\frac{12}{5}\)
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3. which of the following is not a property of all rigid motions? (1) t…
3. (2) 4. (2)
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consider the incomplete paragraph proof. given: p is a point on the per…
A. point M
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the formula for finding the perimeter, p, of a rectangle with length / …
B. \(l=\frac{P - 2w}{2}\) The length of the rectangle is \(0.6\) meters.
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in the figure below, ( r parallel j ). find the values of ( y ) and ( x…
\( y = 60 \) \( x = 52 \)
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solve for $x$ and graph the solution on the number line below. $19\\leq…
Inequality Notation: \(-10 < x\leq - 3\) To graph on the number line: Place an open circle at \(-10\) (because \(x>-10\), not equal to \(-10\)) and a closed circle at \(-3\) (beca…
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consider the diagram. lines a and d are non - coplanar. parallel. perpe…
skew.
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graph $x = \\frac{1}{4}$. line undo redo × reset
A vertical line passing through \(x = \frac{1}{4}\) on the x - axis.
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the two triangles below are similar. also, ( mangle b = 15^{circ} ) and…
\(m\angle P = 130^{\circ}\), \(m\angle Q = 15^{\circ}\), \(m\angle R = 35^{\circ}\)
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in the diagram shown, the distance between points a and c is the same a…
skew.
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in the figure below, ( mangle nkm = 24^{circ} ), ( overline{kl} ) bisec…
\(48\)
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in the figure below, ( mangle nkm = 24^{circ} ), ( overline{kl} ) bisec…
\(48\)
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graph $x=-0.5$
A vertical line passing through \(x = - 0.5\) on the \(x\)-axis.
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in the figure below, ( mangle abd = 96^{circ}, mangle ebd = 32^{circ} )…
\(m\angle ABC = 32^{\circ}\)
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in the figure below, ( mangle abd = 98^{circ}, mangle ebd = 52^{circ} )…
\(76\)
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solve for x and graph the solution on the number line below. 3≥x−7>1 an…
$8 < x\leq10$ To graph this on the number line: - Place an open circle at \(x = 8\) (because \(x>8\), 8 is not included in the solution set). - Place a closed circle at \(x = 10\)…
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in the figure below, ( mangle jkm = 104^{circ}), ( mangle lkm = 58^{cir…
\(75\)
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3. given ( x | y ) and ( m angle 5=104^{circ} ) and ( m angle 9=81^{cir…
\(m\angle2 = 81^{\circ}\), \(m\angle13 = 76^{\circ}\)
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find the tangent of \\( \\angle t \\). simplify your answer and write i…
\(\frac{4}{3}\)
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find the tangent of \\( \\angle x \\). simplify your answer and write i…
\(\frac{72}{65}\)
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solve for ( x ) and graph the solution on the number line below. ( 11 <…
Inequality Notation: \(x>6\) For the number - line: Place an open circle at \(x = 6\) (because \(6\) is not included in the solution set, since the inequality is \(x>6\)) and draw…
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solve for t and graph the solution. t - 6 ≤ 5 or t - 18 ≥ - 2 plot the …
The solution of the compound inequality \(t - 6\leq5\) or \(t - 18\geq - 2\) is \(t\leq11\) or \(t\geq16\). On the number - line, we place a closed circle at \(t = 11\) (since \(t…
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solve for x and graph the solution on the number line below. -31 > 5x +…
Inequality Notation: $-10\leq x<-8$ To graph on the number line: Place a closed circle at $-10$ (because of the $\geq$ sign) and an open circle at $-8$ (because of the $>$ sign), …
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m3|l6 free associate 20×50=? which rectangle represents 20×50? each squ…
The rectangle with 2 rows and 5 columns of squares (assuming the left rectangle has 2 rows and 5 columns and the right one has a different number of rows and columns based on the …
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solve for x and graph the solution on the number line below. 16 < 3x + …
Inequality Notation: \(3 < x\leq6\) To graph on the number - line: - Draw an open circle at \(x = 3\) (because \(x>3\), the value \(x = 3\) is not included in the solution set). -…
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find the value of x. x =
\(x = 101\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
$m\angle5 = 39^{\circ}$ $m\angle8 = 39^{\circ}$
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15. how does the area of the base affect the volume of a prism or cylin…
d. A larger base area results in a larger volume
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14. a cone has a radius of 2 units and a height of 4 units. what is its…
C. 16.75 cubic units
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13. which formula represents the volume of a prism? a. ( v=pi r^{2} ) b…
B. \(V = B\times h\)
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12. calculate the volume of a square - based pyramid with base sides of…
B. 216 cubic units
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11. what measurement is essential for calculating the volume of a cylin…
B. Radius of the base
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10. how do you calculate the area of a circle? a. ( a = 2pi r ) b. ( a …
B. \(A = \pi r^{2}\)
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9. which of the following are parts of a circles circumference? a. arc …
A. Arc
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8. for a triangular prism, how do you find the area of the base (b)? a.…
C. \(B = \frac{1}{2}\times\text{base}\times\text{height}\)
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select all the correct answers a farmer wants to build two fenced - off…
\((20,2200)\), \((5,3000)\)
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7. calculate the volume of a square - based pyramid with a base side of…
B. 83.33 cubic units
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6. how is the area of a semicircle calculated if the radius is r? a. ( …
D. \(A = \frac{1}{2}\pi r^{2}\)
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5. if a circle has a diameter of 8 cm, what is its area? a. 16 cm² b. 5…
B. \(50.24\mathrm{cm}^{2}\)
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4. in the context of volume, the term base area refers to: a. the top s…
d. The area of the bottom surface of an object.
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5. triangle abc is congruent to triangles bad and cea. a. explain why p…
a. Because \(\angle DAE=\angle BAD + \angle BAC+\angle CAE\) and from congruent triangles \(\triangle ABC\cong\triangle BAD\) and \(\triangle ABC\cong\triangle CEA\), substituting…
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3. which of these shapes has a volume of greater than 300 cubic centime…
None of the options (a: \(300\) \(cm^{3}\), b: \(125\) \(cm^{3}\), c: \(282.6\) \(cm^{3}\), d: \(60\) \(cm^{3}\)) has a volume greater than \(300\) \(cm^{3}\). If we assume a typo…
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4. triangles fad and dce are translations of triangle abc select all th…
A. Points \(B\), \(A\), and \(F\) are collinear; C. Line \(AD\) is parallel to line \(BC\); E. The measure of angle \(DAC\) is the same as the measure of angle \(BCA\)
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2. which of these mathematical constants or numbers is crucial when cal…
d. \(\pi\) (Pi)
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1. how is the volume of a cone calculated? a. volume = π×radius × heigh…
B. Volume \(=\frac{1}{3}\times\pi\times r^{2}\times h\)
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what measurements are required to calculate the volume of a cone? a. ce…
C. Radius
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how is the volume of a cone calculated? volume = \\frac{1}{3} \\times \…
A. Volume \(=\frac{1}{3}\times\pi\times r^{2}\times h\)
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a sphere has a radius of 6 units. what is its volume? a. 1,436.0 cubic …
B. 904.3 cubic units
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3. reflect right triangle abc across line bc. classify triangle aca acc…
\(\triangle ACA'\) is an isosceles triangle. Because when right - triangle \(ABC\) is reflected across line \(BC\), \(AC\) and \(A'C\) are congruent (by the property of reflection…
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a cone has a radius of 2 units and a height of 4 units. what is its vol…
C. 16.75 cubic units
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2. triangle fgh is the image of isosceles triangle feh after a reflecti…
C. Diagonal \(FH\) bisects angles \(EFG\) and \(EHG\); E. Angle \(FEH\) is congruent to angle \(FGH\)
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if a triangular - based pyramid has a base area of 30 square units and …
A. 150 cubic units
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question solve for x and graph the solution on the number line below. 2…
Inequality Notation: \(x\leq - 7\) or \(x\gt11\) For the number - line: - Draw a closed circle at \(x = - 7\) (because the inequality is \(\leq\)) and shade to the left. - Draw an…
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lesson 1 practice problems 1. when rectangle abcd is reflected across l…
D. Corresponding parts of congruent figures are congruent.
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what is the volume of a sphere formula? a. volume = \\( \\pi \\times r …
B. Volume = \(\frac{4}{3}\times\pi\times r^{3}\)
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calculate the volume of a square - based pyramid with base sides of 6 u…
d. 216 cubic units
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janelle says that lines / and m are skew lines. is janelle correct? yes…
No, because the lines are in the same plane.
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in the context of volume, the term \base area\ refers to: a. the area o…
A. The area of the bottom surface of an object.
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planes q and r are parallel planes. plane q contains line a. plane r co…
lines a and b must be parallel.
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in the diagram, \\( \\overline { t q } \\) is 18 units in length. what …
16 units